Finding the Fourth Proportional to 1,824.34, 2,736.42 and 670
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Solution
The fourth proportional to 1,824.34, 2,736.42 and 670 is: 1,004.97
Step by Step Solution
- Step 1: Write the proportion equation
1,824.34 : 2,736.42 = 670 : x - Step 2: Convert to fraction form
1,824.34/2,736.42 = 670/x - Step 3: Cross multiply
1,824.34x = 2,736.42 × 670 - Step 4: Simplify right side
1,824.34x = 1,833,401.40 - Step 5: Solve for x
x = 1,833,401.40/1,824.34 - Step 6: Final answer
x = 1,004.97
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.